-2(x-4)=7x-19

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Solution for -2(x-4)=7x-19 equation:


Simplifying
-2(x + -4) = 7x + -19

Reorder the terms:
-2(-4 + x) = 7x + -19
(-4 * -2 + x * -2) = 7x + -19
(8 + -2x) = 7x + -19

Reorder the terms:
8 + -2x = -19 + 7x

Solving
8 + -2x = -19 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
8 + -2x + -7x = -19 + 7x + -7x

Combine like terms: -2x + -7x = -9x
8 + -9x = -19 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -9x = -19 + 0
8 + -9x = -19

Add '-8' to each side of the equation.
8 + -8 + -9x = -19 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -19 + -8
-9x = -19 + -8

Combine like terms: -19 + -8 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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